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Finding the Third Proportional to 1,678,731.75 and 2,534,058

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Solution

The third proportional to 1,678,731.75 and 2,534,058 is: 3,825,179.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,678,731.75 : 2,534,058 = 2,534,058 : x
  2. Step 2: Convert to fraction form
    1,678,731.75/2,534,058 = 2,534,058/x
  3. Step 3: Cross multiply
    1,678,731.75x = 2,534,058 × 2,534,058
  4. Step 4: Simplify right side
    1,678,731.75x = 6,421,449,947,364
  5. Step 5: Solve for x
    x = 6,421,449,947,364/1,678,731.75
  6. Step 6: Final answer
    x = 3,825,179.30

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.